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Finding the Fourth Proportional to 74,213.64, 102,416.07 and 40,223.22

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Solution

The fourth proportional to 74,213.64, 102,416.07 and 40,223.22 is: 55,508.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,213.64 : 102,416.07 = 40,223.22 : x
  2. Step 2: Convert to fraction form
    74,213.64/102,416.07 = 40,223.22/x
  3. Step 3: Cross multiply
    74,213.64x = 102,416.07 × 40,223.22
  4. Step 4: Simplify right side
    74,213.64x = 4,119,504,115.15
  5. Step 5: Solve for x
    x = 4,119,504,115.15/74,213.64
  6. Step 6: Final answer
    x = 55,508.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.